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Proof step 6 from proof mkDecimal-reduce-int (previous step)

∀ i0, j. i→n(i0) < i→n(i) → true → mkDecimal(i0, j).int = i0 / 10 ^ min(maxScale(i0), abs(j)) ⊦ mkDecimal(i, j).int = i / 10 ^ min(maxScale(i), abs(j)), i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).int = i
Proof step 8:
¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0), ∀ i0, j. i→n(i0) < i→n(i) → true → mkDecimal(i0, j).int = i0 / 10 ^ min(maxScale(i0), abs(j)) ⊦ i = i / 10 ^ min(maxScale(i), abs(j)), i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0

Rule argument

spec: inst: name: intvalue-base seq: ⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).int = i subst: [j, i] → [j, i] flags: rewrite, current

Additional information

Used terms: j, i